kumamoto to kanazawa

LTD. EXP THUNDERBIRD 21 covered by JR Pass without additional fee? On our way back from Kumamoto we would like to go to Kanazawa -Nagano-Tokyo. On hyperdia the route is kumamoto to osaka or kyoto using Sakura then to go to Kanazawa we will have to take Ltd. Exp Thurnderbird... would just want to know if this is covered by JR pass? Feedback please, thanks!